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- W2962856523 abstract "We show how to compute the Ehrhart polynomial of the free sum of two lattice polytopes containing the origin P and Q in terms of the enumerative combinatorics of P and Q. This generalizes work of Beck, Jayawant, McAllister, and Braun, and follows from the observation that the weighted h⁎-polynomial is multiplicative with respect to the free sum. We deduce that given a lattice polytope P containing the origin, the problem of computing the number of lattice points in all rational dilates of P is equivalent to the problem of computing the number of lattice points in all integer dilates of all free sums of P with itself." @default.
- W2962856523 created "2019-07-30" @default.
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- W2962856523 date "2017-10-01" @default.
- W2962856523 modified "2023-09-30" @default.
- W2962856523 title "Counting lattice points in free sums of polytopes" @default.
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- W2962856523 doi "https://doi.org/10.1016/j.jcta.2017.04.004" @default.
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